SSC_CPO_Similar_09_Dec_2025_S2_Q148

Question:

If the selling price of an item is increased by 25% and the profit also increases from 20% to 30%, what is the percentage increase in the cost price?

यदि किसी वस्तु के विक्रय मूल्य में 25% की वृद्धि की जाती है और लाभ भी 20% से बढ़कर 30% हो जाता है, तो क्रय मूल्य में प्रतिशत वृद्धि क्या है?

Options:

  • a) 4.5%
  • b) 5.6%
  • c) 10.28%
  • d) 15.38%
  • a) 4.5%
  • b) 5.6%
  • c) 10.28%
  • d) 15.38%

correct answer : d)

Explanation:

SP1 = 1.2 CP1. SP2 = 1.25 SP1 = 1.5 CP1. SP2 is 30% profit => SP2 = 1.3 CP2 => 1.5 CP1 = 1.3 CP2 => CP2 = (1.5/1.3)CP1 = 1.1538 CP1. Increase = 15.38%.

SP1 = 1.2 CP1. SP2 = 1.25 SP1 = 1.5 CP1. लाभ 30% => SP2 = 1.3 CP2 => 1.5 CP1 = 1.3 CP2 => CP2 = 1.1538 CP1. वृद्धि = 15.38%.

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